Please note, due to essential maintenance online transactions will not be possible between 01:30 and 03:00 BST, on Tuesday 28th January 2020 (19:30-21:00 EDT). We apologise for any inconvenience.
Let dk(n) be the number of the factorizations of n into k positive numbers. It is known that the following asymptotic formula holds:
where r and q are co-prime integers with 0 < r < q, Pk is a polynomial of degree k − 1, φ(q) is the Euler function, and Δk (q; r) is the error term. (See Lavrik ).